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Finding the Fourth Proportional to 1,308.78, 1,963.86 and 846.44

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Solution

The fourth proportional to 1,308.78, 1,963.86 and 846.44 is: 1,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.78 : 1,963.86 = 846.44 : x
  2. Step 2: Convert to fraction form
    1,308.78/1,963.86 = 846.44/x
  3. Step 3: Cross multiply
    1,308.78x = 1,963.86 × 846.44
  4. Step 4: Simplify right side
    1,308.78x = 1,662,282.46
  5. Step 5: Solve for x
    x = 1,662,282.46/1,308.78
  6. Step 6: Final answer
    x = 1,270.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.